Abstract
Due to complex hybrid dynamics modeling of hybrid systems for predictive control purposes poses a problem that demands an appropriate expansion of the system theory. The classic formulations of mathematical models of (linear) systems, such as differential equation, transfer function, state space etc., are generally not suitable for treating the dynamical properties of complex systems, like hybrid systems.
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References
Alur, R., Henzinger, T.A., Sontag, E.D.: HS 1995. LNCS, vol. 1066. Springer, Heidelberg (1996)
Antsaklis, P.J.: A brief introduction to the theory and applications of hybrid systems. Proceedings of the IEEE 88 (2000)
Antsaklis, P.J., Kohn, W., Nerode, A., Sastry, S.: HS 1994. LNCS, vol. 999. Springer, Heidelberg (1995)
Antsaklis, P.J., Kohn, W., Nerode, A., Sastry, S.: HS 1996. LNCS, vol. 1273. Springer, Heidelberg (1997)
Antsaklis, P.J., Kohn, W., Lemmon, M.D., Nerode, A., Sastry, S.: HS 1997. LNCS, vol. 1567. Springer, Heidelberg (1999)
Antsaklis, P.J., Stiver, J.A., Lemmon, M.D.: Hybrid Sistem Modeling and Event Identification. In: Grossman, R.L., Ravn, A.P., Rischel, H., Nerode, A. (eds.) HS 1991 and HS 1992. LNCS, vol. 736, pp. 366–392. Springer, Heidelberg (1993)
Back, A., Guckenheimer, J., Myers, M.: A Dynamical Simulation Facility for Hybrid Systems. In: Grossman, R.L., Ravn, A.P., Rischel, H., Nerode, A. (eds.) HS 1991 and HS 1992. LNCS, vol. 736, pp. 255–267. Springer, Heidelberg (1993)
Bemporad, A.: Modeling and control of hybrid dynymical systems: The hybrid toolbox for matlab. In: Troch, I., Breitenecker, F. (eds.) MATHMOD Vienna 2009: Proceedings; Full Papers CD Volume number 35 in ARGESIM Report, pp. 82–100 (2009)
Branicky, M.S.: Studies in hybrid systems: modeling, analysis, and control. PhD thesis, Massechusetts institute of technology (1995)
Brockett, R.W.: Hybrid models for motion control systems. In: Essays in Control: Perspectives in the Theory and its Applications, pp. 29–53. Birkhäuser, Boston (1993)
Engell, S., Frehse, G., Scnieder, E. (eds.): Modelling, Analysis and Design of Hybrid Systems. LNCIS, vol. 279. Springer, Heidelberg (2002)
Grossman, R.L., Ravn, A.P., Rischel, H., Nerode, A. (eds.): HS 1991 and HS 1992. LNCS, vol. 736. Springer, Heidelberg (1993)
Henzinger, T.A., Sastry, S.: HSCC 1998. LNCS, vol. 1386. Springer, Heidelberg (1998)
Johansson, K.H., Egerstedt, M., Lygeros, J., Sastry, S.: On the regularization of zeno hybrid automata. System and Control Letters 38, 141–150 (1999)
Johansson, R. (ed.): Nonlinear and Hybrid Systems in Automotive Control. Springer, London (2003)
Nerode, A., Kohn, W.: Models for Hybrid Systems: Automata, Topologies and Stability. In: Grossman, R.L., Ravn, A.P., Rischel, H., Nerode, A. (eds.) HS 1991 and HS 1992. LNCS, vol. 736, pp. 317–356. Springer, Heidelberg (1993)
Sibirsky, K.S.: Introduction to topological dynamics. Noordhoff international publishing, Leyden (1975)
Tavernini, L.: Differential automata and their discrete simulators. Nonlinear Analisys: Theory, Methods and Applications 11(6), 665–683 (1987)
Witsenhausen, H.S.: A class of hybrid-state continuous time dynamic systems. IEEE Trans. on Automatic Control 11(2), 161–167 (1966)
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Karer, G., Škrjanc, I. (2013). Hybrid Dynamics. In: Predictive Approaches to Control of Complex Systems. Studies in Computational Intelligence, vol 454. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33947-9_2
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DOI: https://doi.org/10.1007/978-3-642-33947-9_2
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